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We investigate the nonlinear dynamics of a mesoscopic driven Duffingoscillator in a quantum regime. In terms of Wigner function, we identify thenature of state near the bifurcation point, and analyze the transient processwhich reveals two distinct stages of quenching and escape. The rate process inthe escape stage allows us to extract the transition rate, which displaysperfect scaling behavior with the driving distance to the bifurcation point. Wenumerically determine the scaling exponent, compare it with existing result,and propose open questions to be resolved.

Quantum Dynamics of Mesoscopic Driven Duffing Oscillators